Free Printable Quarter 4 (half-way) review.

1.

The number of deer off of Nashua Rd in Bedford is tripling every two years. How long will it be until the number of deer is 20 times its current population? (You may use a graphing calculator).

a)

About 6.25 years

b)

Just over 2 years

c)

About 5.5 years

d)

Just under 3 years

e)

I have no idea how to do this problem. I copied this problem to go over with you (and have signed up for a time or will email you)

2.

Given the equations below, find (fg)(4) $f\left(x\right)=\sqrt{x+2}\ \ \ \ \ g\left(x\right)=x^2-6$

a)

$\sqrt{12}=2\sqrt{3}$

b)

$10\sqrt{6}$

c)

0

d)

I have no idea how to do this problem. I copied this problem to go over with you (and have signed up for a time or will email you)

3.

Given the two functions, find
$f\left(g\left(4\right)\right)$
$f\left(x\right)=\sqrt{x+2}\ \ \ \ \ \ g\left(x\right)=x^2-6$

a)

$2\sqrt{3}$

b)

0

c)

$10\sqrt{6}$

d)

I have no idea how to do this problem. I copied this problem to go over with you (and have signed up for a time or will email you)

4.

$y=0.0001e^{1111x}$ (No graphing devices for this question)

Which graph best represents the equation

a)

b)

c)

d)

e)

I have no idea how to do this problem. I copied this problem to go over with you (and have signed up for a time or will email you)

5.

$\left(i^3+i^4\right)\left(i^2-i^5\right)$
No Calculator

a)

$2i$

b)

$i-1$

c)

$-2$

d)

$i+1$

e)

I have no idea how to do this problem. I copied this problem to go over with you (and have signed up for a time or will email you)

6.

$\sqrt{8^{8x}}=4^{\left(\frac{1}{2}x-1\right)}$
No Calculator

a)

No Solution

b)

$x=2$

c)

$x=-\frac{2}{7}$

d)

$x=-\frac{2}{11}$

e)

I have no idea how to do this problem. I copied this problem to go over with you (and have signed up for a time or will email you)

7.

$\left(4\right)2^{\left(2x+2\right)}=\frac{1}{16^{\frac{1}{4}x}}$

a)

$x=-\frac{4}{3}$

b)

$x=-\frac{5}{4}$

c)

$x=1$

d)

Other

e)

I have no idea how to do this problem. I copied this problem to go over with you (and have signed up for a time or will email you)

8.

A strain of bacteria double every 5 minutes. One single bacterium was put in a sealed bottle at 9:00 AM, and the bottle was filled at exactly 10:00 AM. At what time was the bottle one-half full?

a)

Not enough information is given.

b)

If I knew the size of the bottle, I would have an answer

c)

I might have enough information ... let me think about this.

d)

I don't think I even need an equation for this one.

e)

The bacteria doubles every 5 minutes. When the bottle is half full then the last 5 minutes would double that amount ... so at 9:55 AM!

9.

$g\left(x\right)=\frac{\sqrt{x+1}}{3}$ find $g^{-1}\left(x\right)$ and then determine if the inverse is a function.

4 lines

Quarter 4 (half-way) review.

Total questions: 9

Worksheet time: 30mins

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